PLEASE SHOW WORK PLEASE :)
solve the following equations using the substitution method
solve the following equations using the substitution method
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Change x-2y=5 to x=2y+5 then plug in 2y+5 for x in the other equation and that will give you y, then once you get y plug it in to either problem and solve for x
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5X-6Y=21 BE EQATION NO 1
X-2Y=5 BE EQUATION NO 2
MULTIPLY EQA 2 WITH 3 AND SUTRACT FROM 1.
5X-6Y=21
3X-6Y=15 {MULTILPLIED WITH 3}
__________ {SUBTRACT NOW}
2X= 6
X=3 AND NOW SUBSTITUTE IN ANY OF THE EQUATIONS.
3-2Y=5; Y= -1
X-2Y=5 BE EQUATION NO 2
MULTIPLY EQA 2 WITH 3 AND SUTRACT FROM 1.
5X-6Y=21
3X-6Y=15 {MULTILPLIED WITH 3}
__________ {SUBTRACT NOW}
2X= 6
X=3 AND NOW SUBSTITUTE IN ANY OF THE EQUATIONS.
3-2Y=5; Y= -1
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x = 5 + 2y [Equation1]
5x - 6y = 21 [Equation2]
Substitute eq1 into eq 2
5(5 + 2y) - 6y = 21
25 + 10y - 6y = 21
4y = -4
y = -1
Substitute y into eq 1
x = 5 + 2(-1)
x = 3
5x - 6y = 21 [Equation2]
Substitute eq1 into eq 2
5(5 + 2y) - 6y = 21
25 + 10y - 6y = 21
4y = -4
y = -1
Substitute y into eq 1
x = 5 + 2(-1)
x = 3
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5x - 6y = 21
x - 2y = 5
x = 5 + 2y
5(5 + 2y) - 6y = 21
25 + 10y - 6y = 21
25 + 4y = 21
4y = -4
y = -1
_______________________________________…
5x - 6y = 21
5x - 6 x -1 = 21
5x + 6 = 21
5x = 15
x = 3
:D
x - 2y = 5
x = 5 + 2y
5(5 + 2y) - 6y = 21
25 + 10y - 6y = 21
25 + 4y = 21
4y = -4
y = -1
_______________________________________…
5x - 6y = 21
5x - 6 x -1 = 21
5x + 6 = 21
5x = 15
x = 3
:D
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x-2y=5 => x=2y+5
5x-6y=21 => 5(2y+5)-6y=21 => 10y+25-6y=21 => 4y=-4 => y=-1, so x=3
5x-6y=21 => 5(2y+5)-6y=21 => 10y+25-6y=21 => 4y=-4 => y=-1, so x=3